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arXiv · 1312.5463

Long time dynamics of highly concentrated solitary waves for the nonlinear Schroedinger equation

Claudio Bonanno
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Abstract

In this paper we study the behavior of solutions of a nonlinear Schroedinger equation in presence of an external potential, which is allowed to be singular at one point. We show that the solution behaves like a solitary wave for long time even if we start from a unstable solitary wave, and its dynamics coincide with that of a classical particle evolving according to a natural effective Hamiltonian.

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Claudio Bonanno. 2013-12-19. Long time dynamics of highly concentrated solitary waves for the nonlinear Schroedinger equation. https://arxiv.org/abs/1312.5463

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